Titlebook: Lectures on Classical and Quantum Theory of Fields; Henryk Arodz,Leszek Hadasz Textbook 2017Latest edition Springer International Publishi

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The Renormalization Group,ional equations of the renormalization group. Differential renormalization group equations of the Gell-Mann–Low and the Callan–Symanzik type. The . function. Reliability of the perturbative approximations. The phenomenon of dimensional transmutation in renormalized quantum field theory.

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Relativistic Invariance and the Spectral Decomposition of ,,he Poincaré group, and their commutation relations. The spectral decomposition of the two-point function . in the quantum theory of the real scalar field. The contribution of the single particle states. The pole of . at the physical value of . of the single particle. Finite mass corrections to the renormalized two-point function.

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sure. By establishing and validating an in situ characterization methodology, the vessel’s geometry, its deformation behavior and the damage evolution process under internal pressure loading become accessible. This not only permits to trace back certain phenomena related to the manufacturing of thes

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The Quantum Theory of Free Fields,nical commutation relations. The Fock representation. Basic quantum observables: the total energy and momentum of the field. A description of quantum states in terms of particles. The field operator as a generalized function. The classical Dirac field as a system with constraints. The Faddeev–Jackiw

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Renormalization, Renormalization of the one-loop contribution to the four-point Green’s function (the sunset diagram). The BPHZ subtraction scheme. Lorentz invariant renormalization of the two-point Green’s function. The renormalization constants . and the multiplicative renormalization.